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Exercise

$\frac{120a^{14}b^{20}c^{-12}}{5a^{14}b^{-22}c^{-10}}$

Step-by-step Solution

1

Simplify the fraction $\frac{120a^{14}b^{20}c^{-12}}{5a^{14}b^{-22}c^{-10}}$ by $a^{14}$

$\frac{120b^{20}c^{-12}}{5b^{-22}c^{-10}}$
2

Simplify the fraction $\frac{120b^{20}c^{-12}}{5b^{-22}c^{-10}}$ by $b$

$\frac{120b^{42}c^{-12}}{5c^{-10}}$
3

Simplify the fraction by $c$

$\frac{120b^{42}}{5c^{2}}$
4

Cancel the fraction's common factor $5$

$\frac{24b^{42}}{c^{2}}$

Final answer to the exercise

$\frac{24b^{42}}{c^{2}}$

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